A "Grain" is a measure of weight, each grain being 1/7000 of a pound. Our measures are not capable of weighing, they contain a certain volume, a fixed number of cubic inches or of cubic millimeters/cc, etc. The key is Volume, the measures always measure only volume.
No one's volume measure throws exactly what it's meant to throw, not mine nor yours nor his. If it's designed around one powder size and density, say for example Goex 2F as it was made in year 2000, then it might throw very near the design weight of Goex FFG over a several year time span, but close is just close. Every batch of powder can be slightly different in both granular size and density. Then if we use a 2F volume me4asure to dip 3F it will give us something 8-10% more (according to what I've read) by weight, mostly because with large particles we are measuring a lot more air between the particles than with the finer particles of 3F. So if we measure a 100gn volume of FFFG in an FFG measure it will weigh more than 100gn, on a scale and if we took a 100 grains volume of FG powder in that same 100gn measure designed around FFG and weighed it we would find it weighing less than 100gn on a scale.
Largely why people shooting FFFG get higher chronograph readings than with the same volume of FFG. Of course the smaller granules also burn faster from the outside than larger granules do and that means more of the fine powder is burned within a given time or barrel length, and that would add some speed.
It's really only possible to correctly measure weight by volume with liquids like water that always have the same density, at a given temperature.
If you have a scale, it's easy to demonstrate by measuring, then weighing first a cup of flour and then a cup of Wheaties, both forms of wheat but having different densities, you will probably also be able to see the air space between flakes easier than the spaces between the flour particles.
You can even use your powder measure with any powder of your choice then with any size lead shot. Weigh both measures on a scale, the lead should weigh more.